What is the limit as x approaches 0+of-3/x ?

The limit as x approaches 0+of-3/x is -infinity

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limit as x approaches 0+of-3/x

x \to 0 + lim (- \frac{3}{x})

- \infty

Solution steps

x \to 0 + lim (- \frac{3}{x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - 3 \cdot x \to 0 + lim (\frac{1}{x})

For

x

approaching

0

from the right

, x > 0 \Rightarrow x > 0

The denominator is a positive quantity approaching 0 from the right

= - 3 \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

y^{^{'}} = \frac{4 x ^{2} + y ^{2}}{x y}

\frac{d}{d x} (5 x^{3})

y^{^{'}} = \frac{x ^{10}}{y}

\frac{\partial}{\partial x} (3 x + y)

\int (- 2 x^{- 1}) d x

What is the limit as x approaches 0+of-3/x ?
The limit as x approaches 0+of-3/x is -infinity